A short train consists of two locomotives, each of mass 20 tonnes, with a truck
of mass 10 tonnes coupled between them, as shown in the diagram. The
resistances to forward motion are 0.5 kN on the truck and 1 kN on each of the
locomotives. The train is travelling along a straight, horizontal section of track.
Initially there is a driving force of 15 kN from the front locomotive only.
(i) Calculate the acceleration of the train.
(m) Draw a diagram indicating the horizontal forces acting on each part of the
train, including the forces in each of the couplings. Calculate the forces
acting on the truck due to each coupling.
On another occasion each of the locomotives produces a driving force of
7.5kN in the same direction and the resistances remain as before.
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